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Finding the Fourth Proportional to 57,987, 86,995.08 and 16,434

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Solution

The fourth proportional to 57,987, 86,995.08 and 16,434 is: 24,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,987 : 86,995.08 = 16,434 : x
  2. Step 2: Convert to fraction form
    57,987/86,995.08 = 16,434/x
  3. Step 3: Cross multiply
    57,987x = 86,995.08 × 16,434
  4. Step 4: Simplify right side
    57,987x = 1,429,677,144.72
  5. Step 5: Solve for x
    x = 1,429,677,144.72/57,987
  6. Step 6: Final answer
    x = 24,655.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.